Ductility Inverse-Mapping Capacity Spectrum Method for Variable Level of Ground Motion

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A ductility inverse-mapping method for SDOF systems including passive dampers is proposed which enables one to find the maximum acceleration of ground motion for the prescribed maximum response deformation. In the conventional capacity spectrum method, the maximum response deformation is computed through iterative procedures for the prescribed maximum acceleration of ground motion. This is because the equivalent linear model for response evaluation is described in terms of unknown maximum deformation. While successive calculations are needed in the conventional capacity spectrum method, no numerically unstable iterative procedure is required in the proposed method.